InterviewSolution
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InterviewSolution
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यदि `(a+1/a)^(2)=3` तो `a^(30)+a^(24)+a^(18)+a^(12)+a^(6)+1` का मान ज्ञात कीजिए। |
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Answer» Correct Answer - A `(a+1/a)^(2)=3` `a+1/a=sqrt(3)` cube both sides `a^(3)+1/(a^(3))+3xxaxx1/a(a+1/a)=(sqrt(3))^(3)` `a^(3)+1/(a^(3))+3sqrt(3)=3sqrt(3)` `a^(3)+1/(a^(3))=0` `a^(6)+1=0` `implies a^(30)+a^(24)+a^(18)+a^(12)+a^(6)+1` `implies a^(24)(a^(6)+1)+a^(12)(a^(6)+1)+a^(6)+1` `=a^(24)(0)+a^(12)(0)+0=0` |
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